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<div class="title">SVDClass.hpp</div>  </div>
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<a href="_s_v_d_class_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_error_8hpp.html">NumCpp/Core/Error.hpp</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_types_8hpp.html">NumCpp/Core/Types.hpp</a>&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacenc.html">nc</a></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;{</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">namespace </span>linalg</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="comment">// Class Description:</span></div><div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html">   48</a></span>&#160;<span class="comment"></span>        <span class="keyword">class </span><a class="code" href="classnc_1_1linalg_1_1_s_v_d.html">SVD</a></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        {</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">private</span>:</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            <span class="comment">// ===============================Attributes====================================</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>        m_;</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>        n_;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>     u_;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>     v_;</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>     s_;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keywordtype">double</span>              eps_;</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <span class="keywordtype">double</span>              tsh_;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba">   68</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba">SVD</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; inMatrix) :</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                m_(inMatrix.<a class="code" href="namespacenc.html#ae2b224742bc8263190d451a44ebe5e34">shape</a>().rows),</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                n_(inMatrix.<a class="code" href="namespacenc.html#ae2b224742bc8263190d451a44ebe5e34">shape</a>().cols),</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                u_(inMatrix),</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                v_(n_, n_),</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                s_(1, n_),</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                eps_(<a class="code" href="namespacestd.html">std</a>::numeric_limits&lt;double&gt;::epsilon())</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            {</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                decompose();</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                reorder();</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                tsh_ = 0.5 * <a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">std::sqrt</a>(m_ + n_ + 1.) * s_.<a class="code" href="classnc_1_1_nd_array.html#a5173e2d0a9fe983213193d8a4dfde21c">front</a>() * eps_;</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            }</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#a0f7dddedc38be47b051aa16e5dc9d6b2">   88</a></span>&#160;<span class="comment"></span>            <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code" href="classnc_1_1linalg_1_1_s_v_d.html#a0f7dddedc38be47b051aa16e5dc9d6b2">u</a>() noexcept</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            {</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                <span class="keywordflow">return</span> u_;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            }</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#a6b907070cfa7e89c3107fa628694e274">  100</a></span>&#160;<span class="comment"></span>            <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code" href="classnc_1_1linalg_1_1_s_v_d.html#a6b907070cfa7e89c3107fa628694e274">v</a>() noexcept</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            {</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                <span class="keywordflow">return</span> v_;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            }</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classnc_1_1linalg_1_1_s_v_d.html#a323915fbe7cbaabadef01ffa948d2f1a">  112</a></span>&#160;<span class="comment"></span>            <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a>&amp; <a class="code" href="classnc_1_1linalg_1_1_s_v_d.html#a323915fbe7cbaabadef01ffa948d2f1a">s</a>() noexcept</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            {</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; 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inInput, <span class="keywordtype">double</span> inThresh = -1.0)</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            {</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                <span class="keywordtype">double</span> ss = 0.0;</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                <span class="keywordflow">if</span> (inInput.<a class="code" href="classnc_1_1_nd_array.html#a6871de7968fa26f32d9c43167cd66131">size</a>() != m_)</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                {</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                    <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;bad sizes.&quot;</span>);</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                }</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(1, n_);</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> tmp(1, n_);</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                tsh_ = (inThresh &gt;= 0. ? inThresh : 0.5 * <a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">sqrt</a>(m_ + n_ + 1.) * s_.<a class="code" href="classnc_1_1_nd_array.html#a5173e2d0a9fe983213193d8a4dfde21c">front</a>() * eps_);</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160; 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               }</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                <span class="keywordflow">return</span> returnArray;</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            }</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="keyword">private</span>:</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment"></span>            <span class="keywordtype">double</span> SIGN(<span class="keywordtype">double</span> inA, <span class="keywordtype">double</span> inB) noexcept</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;            {</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                <span class="keywordflow">return</span> inB &gt;= 0 ? (inA &gt;= 0 ? inA : -inA) : (inA &gt;= 0 ? -inA : inA);</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            }</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="comment"></span>            <span class="keywordtype">void</span> decompose()</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            {</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                <span class="keywordtype">bool</span>    flag = <span class="keyword">true</span>;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  i = 0;</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  its = 0;</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  j = 0;</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  jj = 0;</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  k = 0;</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  l = 0;</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  nm = 0;</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                <span class="keywordtype">double</span>  anorm = 0.0;</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                <span class="keywordtype">double</span>  <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = 0.0;</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                <span class="keywordtype">double</span>  <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = 0.0;</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;                <span class="keywordtype">double</span>  g = 0.0;</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;                <span class="keywordtype">double</span>  h = 0.0;</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;                <span class="keywordtype">double</span>  ss = 0.0;</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;                <span class="keywordtype">double</span>  scale = 0.0;</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;                <span class="keywordtype">double</span>  x = 0.0;</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;                <span class="keywordtype">double</span>  y = 0.0;</div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;                <span class="keywordtype">double</span>  z = 0.0;</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> rv1(n_, 1);</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;</div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                <span class="keywordflow">for</span> (i = 0; i &lt; n_; ++i)</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;                {</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;                    l = i + 2;</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;                    rv1[i] = scale * g;</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;                    g = ss = scale = 0.0;</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;                    <span class="keywordflow">if</span> (i &lt; m_)</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;                    {</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;                        <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;                        {</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;                            scale += <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(u_(k, i));</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;                        }</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;                        <span class="keywordflow">if</span> (scale != 0.0)</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;                        {</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;                            <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;                            {</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;                                u_(k, i) /= scale;</div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;                                ss += u_(k, i) * u_(k, i);</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;                            }</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                            <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = u_(i, i);</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;                            g = -SIGN(<a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">std::sqrt</a>(ss), <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>);</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                            h = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * g - ss;</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;                            u_(i, i) = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> - g;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;                            <span class="keywordflow">for</span> (j = l - 1; j &lt; n_; ++j)</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                            {</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                                <span class="keywordflow">for</span> (ss = 0.0, k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                                {</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;                                    ss += u_(k, i) * u_(k, j);</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;                                }</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                                <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = ss / h;</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                                <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                                {</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                                    u_(k, j) += <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * u_(k, i);</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;                                }</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;                            }</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;</div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                            <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;                            {</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;                                u_(k, i) *= scale;</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;                            }</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;                        }</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;                    }</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;</div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                    s_[i] = scale * g;</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;                    g = ss = scale = 0.0;</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;                    <span class="keywordflow">if</span> (i + 1 &lt;= m_ &amp;&amp; i + 1 != n_)</div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                    {</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;                        <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;                        {</div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;                            scale += <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(u_(i, k));</div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                        }</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;                        <span class="keywordflow">if</span> (scale != 0.0)</div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;                        {</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;                            <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                            {</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;                                u_(i, k) /= scale;</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;                                ss += u_(i, k) * u_(i, k);</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                            }</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;                            <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = u_(i, l - 1);</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;                            g = -SIGN(<a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">std::sqrt</a>(ss), <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>);</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;                            h = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * g - ss;</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;                            u_(i, l - 1) = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> - g;</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;                            <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;                            {</div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;                                rv1[k] = u_(i, k) / h;</div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                            }</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;                            <span class="keywordflow">for</span> (j = l - 1; j &lt; m_; ++j)</div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;                            {</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;                                <span class="keywordflow">for</span> (ss = 0.0, k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;                                {</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;                                    ss += u_(j, k) * u_(i, k);</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;                                }</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;                                <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;                                {</div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;                                    u_(j, k) += ss * rv1[k];</div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;                                }</div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;                            }</div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;</div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;                            <span class="keywordflow">for</span> (k = l - 1; k &lt; n_; ++k)</div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;                            {</div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;                                u_(i, k) *= scale;</div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;                            }</div><div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;                        }</div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;                    }</div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;</div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;                    anorm = <a class="code" href="namespacenc.html#a5273d0dac1896f082d185c7f0b90d99f">std::max</a>(anorm, (<a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(s_[i]) + <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(rv1[i])));</div><div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;                }</div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;</div><div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;                <span class="keywordflow">for</span> (i = n_ - 1; i != <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(-1); --i)</div><div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;                {</div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;                    <span class="keywordflow">if</span> (i &lt; n_ - 1)</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;                    {</div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;                        <span class="keywordflow">if</span> (g != 0.0)</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;                        {</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;                            <span class="keywordflow">for</span> (j = l; j &lt; n_; ++j)</div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;                            {</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;                                v_(j, i) = (u_(i, j) / u_(i, l)) / g;</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;                            }</div><div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;</div><div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;                            <span class="keywordflow">for</span> (j = l; j &lt; n_; ++j)</div><div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;                            {</div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;                                <span class="keywordflow">for</span> (ss = 0.0, k = l; k &lt; n_; ++k)</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;                                {</div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;                                    ss += u_(i, k) * v_(k, j);</div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;                                }</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;</div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;                                <span class="keywordflow">for</span> (k = l; k &lt; n_; ++k)</div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;                                {</div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;                                    v_(k, j) += ss * v_(k, i);</div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;                                }</div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;                            }</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;                        }</div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;                        <span class="keywordflow">for</span> (j = l; j &lt; n_; ++j)</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;                        {</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;                            v_(i, j) = v_(j, i) = 0.0;</div><div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;                        }</div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;                    }</div><div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;</div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;                    v_(i, i) = 1.0;</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;                    g = rv1[i];</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;                    l = i;</div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;                }</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;                <span class="keywordflow">for</span> (i = <a class="code" href="namespacenc.html#a1dcd97ed6259f6a019ff8b59f2ae1adc">std::min</a>(m_, n_) - 1; i != <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(-1); --i)</div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;                {</div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;                    l = i + 1;</div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;                    g = s_[i];</div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;</div><div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;                    <span class="keywordflow">for</span> (j = l; j &lt; n_; ++j)</div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;                    {</div><div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;                        u_(i, j) = 0.0;</div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;                    }</div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;</div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;                    <span class="keywordflow">if</span> (g != 0.0)</div><div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;                    {</div><div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;                        g = 1.0 / g;</div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;</div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;                        <span class="keywordflow">for</span> (j = l; j &lt; n_; ++j)</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;                        {</div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;                            <span class="keywordflow">for</span> (ss = 0.0, k = l; k &lt; m_; ++k)</div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;                            {</div><div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;                                ss += u_(k, i) * u_(k, j);</div><div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;                            }</div><div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;</div><div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;                            <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = (ss / u_(i, i)) * g;</div><div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;</div><div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;                            <span class="keywordflow">for</span> (k = i; k &lt; m_; ++k)</div><div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;                            {</div><div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;                                u_(k, j) += <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * u_(k, i);</div><div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;                            }</div><div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;                        }</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;                        <span class="keywordflow">for</span> (j = i; j &lt; m_; ++j)</div><div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;                        {</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;                            u_(j, i) *= g;</div><div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;                        }</div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;                    }</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;                    <span class="keywordflow">else</span></div><div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;                    {</div><div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;                        <span class="keywordflow">for</span> (j = i; j &lt; m_; ++j)</div><div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;                        {</div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;                            u_(j, i) = 0.0;</div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;                        }</div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;                    }</div><div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;</div><div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;                    ++u_(i, i);</div><div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;                }</div><div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;</div><div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;                <span class="keywordflow">for</span> (k = n_ - 1; k != <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(-1); --k)</div><div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;                {</div><div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;                    <span class="keywordflow">for</span> (its = 0; its &lt; 30; ++its)</div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;                    {</div><div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;                        flag = <span class="keyword">true</span>;</div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;                        <span class="keywordflow">for</span> (l = k; l != <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(-1); --l)</div><div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;                        {</div><div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;                            nm = l - 1;</div><div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;                            <span class="keywordflow">if</span> (l == 0 || <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(rv1[l]) &lt;= eps_ * anorm)</div><div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;                            {</div><div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;                                flag = <span class="keyword">false</span>;</div><div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;                                <span class="keywordflow">break</span>;</div><div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;                            }</div><div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;</div><div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;                            <span class="keywordflow">if</span> (<a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(s_[nm]) &lt;= eps_ * anorm)</div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;                            {</div><div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;                                <span class="keywordflow">break</span>;</div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;                            }</div><div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;                        }</div><div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;</div><div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;                        <span class="keywordflow">if</span> (flag)</div><div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;                        {</div><div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;                            <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = 0.0;</div><div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;                            ss = 1.0;</div><div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;                            <span class="keywordflow">for</span> (i = l; i &lt; k + 1; ++i)</div><div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;                            {</div><div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;                                <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = ss * rv1[i];</div><div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;                                rv1[i] = <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * rv1[i];</div><div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;                                <span class="keywordflow">if</span> (<a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(<a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>) &lt;= eps_ * anorm)</div><div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;                                {</div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;                                    <span class="keywordflow">break</span>;</div><div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;                                }</div><div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;</div><div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;                                g = s_[i];</div><div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;                                h = pythag(<a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>, g);</div><div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;                                s_[i] = h;</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;                                h = 1.0 / h;</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;                                <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = g * h;</div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;                                ss = -<a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * h;</div><div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;</div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;                                <span class="keywordflow">for</span> (j = 0; j &lt; m_; ++j)</div><div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;                                {</div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;                                    y = u_(j, nm);</div><div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;                                    z = u_(j, i);</div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;                                    u_(j, nm) = y * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;                                    u_(j, i) = z * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - y * ss;</div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;                                }</div><div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;                            }</div><div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;                        }</div><div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;</div><div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;                        z = s_[k];</div><div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;                        <span class="keywordflow">if</span> (l == k)</div><div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;                        {</div><div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;                            <span class="keywordflow">if</span> (z &lt; 0.0)</div><div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;                            {</div><div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;                                s_[k] = -z;</div><div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;                                <span class="keywordflow">for</span> (j = 0; j &lt; n_; ++j)</div><div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;                                {</div><div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;                                    v_(j, k) = -v_(j, k);</div><div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;                                }</div><div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;                            }</div><div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160; 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                       <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = ((x - z) * (x + z) + h * ((y / (<a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> + SIGN(g, <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>))) - h)) / x;</div><div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                        <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = ss = 1.0;</div><div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;</div><div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;                        <span class="keywordflow">for</span> (j = l; j &lt;= nm; j++)</div><div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;                        {</div><div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160; 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                           <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> / z;</div><div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;                            ss = h / z;</div><div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;                            <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = x * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + g * ss;</div><div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;                            g = g * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - x * ss;</div><div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;                            h = y * ss;</div><div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;                            y *= <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a>;</div><div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;</div><div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;                            <span class="keywordflow">for</span> (jj = 0; jj &lt; n_; ++jj)</div><div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;                            {</div><div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;                                x = v_(jj, j);</div><div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;                                z = v_(jj, i);</div><div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;                                v_(jj, j) = x * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div><div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;                                v_(jj, i) = z * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - x * ss;</div><div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;                            }</div><div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;</div><div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;                            z = pythag(<a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>, h);</div><div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;                            s_[j] = z;</div><div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;</div><div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;                            <span class="keywordflow">if</span> (z)</div><div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                            {</div><div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                                z = 1.0 / z;</div><div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;                                <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> * z;</div><div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;                                ss = h * z;</div><div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;                            }</div><div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;</div><div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;                            <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a> = <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * g + ss * y;</div><div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;                            x = <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> * y - ss * g;</div><div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;</div><div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;                            <span class="keywordflow">for</span> (jj = 0; jj &lt; m_; ++jj)</div><div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;                            {</div><div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;                                y = u_(jj, j);</div><div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;                                z = u_(jj, i);</div><div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;                                u_(jj, j) = y * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> + z * ss;</div><div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;                                u_(jj, i) = z * <a class="code" href="namespacenc_1_1constants.html#ac3fc62713ed109e451648c67faab7581">c</a> - y * ss;</div><div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;                            }</div><div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;                        }</div><div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;                        rv1[l] = 0.0;</div><div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;                        rv1[k] = <a class="code" href="namespacenc_1_1random.html#a00229c23da25284daf436c0a338ea25c">f</a>;</div><div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;                        s_[k] = x;</div><div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;                    }</div><div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;                }</div><div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;            }</div><div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;</div><div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;<span class="comment"></span>            <span class="keywordtype">void</span> reorder()</div><div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;            {</div><div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  i = 0;</div><div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  j = 0;</div><div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  k = 0;</div><div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  ss = 0;</div><div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a>  inc = 1;</div><div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;</div><div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;                <span class="keywordtype">double</span>          sw = 0.0;</div><div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;                NdArray&lt;double&gt; su(m_, 1);</div><div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;                NdArray&lt;double&gt; sv(n_, 1);</div><div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;</div><div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;                <span class="keywordflow">do</span></div><div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;                {</div><div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;                    inc *= 3;</div><div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;                    ++inc;</div><div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;                } <span class="keywordflow">while</span> (inc &lt;= n_);</div><div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;</div><div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;                <span class="keywordflow">do</span></div><div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;                {</div><div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;                    inc /= 3;</div><div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;                    <span class="keywordflow">for</span> (i = inc; i &lt; n_; ++i)</div><div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;                    {</div><div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;                        sw = s_[i];</div><div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;                        <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div><div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;                        {</div><div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;                            su[k] = u_(k, i);</div><div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;                        }</div><div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;</div><div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;                        <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div><div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;                        {</div><div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;                            sv[k] = v_(k, i);</div><div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;                        }</div><div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;</div><div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;                        j = i;</div><div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;                        <span class="keywordflow">while</span> (s_[j - inc] &lt; sw)</div><div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;                        {</div><div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;                            s_[j] = s_[j - inc];</div><div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;</div><div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;                            <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div><div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;                            {</div><div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;                                u_(k, j) = u_(k, j - inc);</div><div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;                            }</div><div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;</div><div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;                            <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div><div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;                            {</div><div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;                                v_(k, j) = v_(k, j - inc);</div><div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;                            }</div><div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;</div><div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;                            j -= inc;</div><div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;</div><div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;                            <span class="keywordflow">if</span> (j &lt; inc)</div><div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;                            {</div><div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;                                <span class="keywordflow">break</span>;</div><div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;                            }</div><div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;                        }</div><div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;</div><div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;                        s_[j] = sw;</div><div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;</div><div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;                        <span class="keywordflow">for</span> (k = 0; k &lt; m_; ++k)</div><div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;                        {</div><div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;                            u_(k, j) = su[k];</div><div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;                        }</div><div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;</div><div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;                        <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div><div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;                        {</div><div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;                            v_(k, j) = sv[k];</div><div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;                        }</div><div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;</div><div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;                    }</div><div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;                } <span class="keywordflow">while</span> (inc &gt; 1);</div><div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;</div><div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;                <span class="keywordflow">for</span> (k = 0; k &lt; n_; ++k)</div><div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;                {</div><div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;                    ss = 0;</div><div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;</div><div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;                    <span class="keywordflow">for</span> (i = 0; i &lt; m_; i++)</div><div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;                    {</div><div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;                        <span class="keywordflow">if</span> (u_(i, k) &lt; 0.)</div><div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;                        {</div><div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;                            ss++;</div><div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;                        }</div><div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;                    }</div><div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;</div><div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;                    <span class="keywordflow">for</span> (j = 0; j &lt; n_; ++j)</div><div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;                    {</div><div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;                        <span class="keywordflow">if</span> (v_(j, k) &lt; 0.)</div><div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;                        {</div><div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;                            ss++;</div><div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;                        }</div><div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;                    }</div><div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;</div><div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;                    <span class="keywordflow">if</span> (ss &gt; (m_ + n_) / 2)</div><div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;                    {</div><div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;                        <span class="keywordflow">for</span> (i = 0; i &lt; m_; ++i)</div><div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;                        {</div><div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;                            u_(i, k) = -u_(i, k);</div><div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;                        }</div><div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;</div><div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;                        <span class="keywordflow">for</span> (j = 0; j &lt; n_; ++j)</div><div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;                        {</div><div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;                            v_(j, k) = -v_(j, k);</div><div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;                        }</div><div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;                    }</div><div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;                }</div><div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;            }</div><div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;</div><div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;            <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;            <span class="comment">// Description:</span></div><div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;<span class="comment"></span>            <span class="keywordtype">double</span> pythag(<span class="keywordtype">double</span> inA, <span class="keywordtype">double</span> inB) noexcept</div><div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;            {</div><div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> absa = <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(inA);</div><div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> absb = <a class="code" href="namespacenc.html#a4a45571b060fcb2c3e323fb8f8d7b00e">std::abs</a>(inB);</div><div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;                <span class="keywordflow">return</span> (absa &gt; absb ? absa * <a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">std::sqrt</a>(1.0 + <a class="code" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(absb / absa)) :</div><div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;                    (absb == 0.0 ? 0.0 : absb * <a class="code" href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">std::sqrt</a>(1.0 + <a class="code" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(absa / absb))));</div><div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;            }</div><div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;        };</div><div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;    }</div><div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;}</div><div class="ttc" id="namespacenc_html_acb264011e6e6cd182cc47f67018a6b3c"><div class="ttname"><a href="namespacenc.html#acb264011e6e6cd182cc47f67018a6b3c">nc::sqrt</a></div><div class="ttdeci">double sqrt(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> sqrt.hpp:50</div></div>
<div class="ttc" id="_error_8hpp_html"><div class="ttname"><a href="_error_8hpp.html">Error.hpp</a></div></div>
<div class="ttc" id="namespacenc_html"><div class="ttname"><a href="namespacenc.html">nc</a></div><div class="ttdef"><b>Definition:</b> Coordinate.hpp:45</div></div>
<div class="ttc" id="classnc_1_1linalg_1_1_s_v_d_html_a0f7dddedc38be47b051aa16e5dc9d6b2"><div class="ttname"><a href="classnc_1_1linalg_1_1_s_v_d.html#a0f7dddedc38be47b051aa16e5dc9d6b2">nc::linalg::SVD::u</a></div><div class="ttdeci">const NdArray&lt; double &gt; &amp; u() noexcept</div><div class="ttdef"><b>Definition:</b> SVDClass.hpp:88</div></div>
<div class="ttc" id="namespacenc_html_aacba4d66f94f6f53637e23c5d82e20d8"><div class="ttname"><a href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">nc::uint32</a></div><div class="ttdeci">uint32_t uint32</div><div class="ttdef"><b>Definition:</b> Types.hpp:41</div></div>
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